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Finding the Fourth Proportional to 3,188.17, 4,782.21 and 996.91

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Solution

The fourth proportional to 3,188.17, 4,782.21 and 996.91 is: 1,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.17 : 4,782.21 = 996.91 : x
  2. Step 2: Convert to fraction form
    3,188.17/4,782.21 = 996.91/x
  3. Step 3: Cross multiply
    3,188.17x = 4,782.21 × 996.91
  4. Step 4: Simplify right side
    3,188.17x = 4,767,432.97
  5. Step 5: Solve for x
    x = 4,767,432.97/3,188.17
  6. Step 6: Final answer
    x = 1,495.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.